Confidence Interval from Small Sample Special tables are available for finding confidence intervals for proportions involving small numbers of cases, where the normal distribution approximation cannot be used. For example, given x = 3 successes among n = 8 trials, the 95% confidence interval found in Standard Probability and Statistics Tables and Formulae (CRC Press) is 0.085 < p < 0.755. Find the confidence interval that would result if you were to incorrectly use the normal distribution as an approximation to the binomial distribution. Are the results reasonably close?
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